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Finding the Fourth Proportional to 828.18, 1,142.24 and 566.03

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Solution

The fourth proportional to 828.18, 1,142.24 and 566.03 is: 780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.18 : 1,142.24 = 566.03 : x
  2. Step 2: Convert to fraction form
    828.18/1,142.24 = 566.03/x
  3. Step 3: Cross multiply
    828.18x = 1,142.24 × 566.03
  4. Step 4: Simplify right side
    828.18x = 646,542.13
  5. Step 5: Solve for x
    x = 646,542.13/828.18
  6. Step 6: Final answer
    x = 780.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.